Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to 
therefore
For 
-----> one unit to the right of the vertex
Find the value of 
For 
-----> one unit to the left of the vertex
Find the value of 
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
The answer is c because when it's in parenthaces squared it's the opposite (which is the horizontal shift) and the plus 1 is the vertical shift
Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
This is what I get. Total will be 4187.56 with Interest 2187.56.
By using the formula:
To find amount :
A=p (1+r/n)^n×t
Where
P=2000,r=3%,n=1,t=25
So plug in and solve A=2000(1+0.03/1)^1×25
To find interest you use formula A=p+I
A=4187.56, p=2000,i= we need to find.
4187.56=2000+I
4187.56-2000=I
2187.56=i
Answer:
Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.
Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.
